Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th September 2016
- 1Conditional Probability3 marks
A bag holds 3 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 2Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 0.5, 1, 3, 2. Which class contains the median?
- 3Surds3 marks
Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
- 4Proof2 marks
In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
- 5Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
You are looking at an earlier sheet. Today's sheet is the one that adds a day.
Your run is kept in this browser only, and there is no account.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of September 2016, including the monthly compilation PDF.